85429687500 has 264 divisors, whose sum is σ = 280273431760. Its totient is φ = 22781250000.

The previous prime is 85429687493. The next prime is 85429687531. The reversal of 85429687500 is 578692458.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85429687500 is a `hidden beast` number, since 8 + 5 + 42 + 96 + 8 + 7 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5625 × 3375 × 4500.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 17085937498 + ... + 17085937502.

Almost surely, 2^85429687500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85429687500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140136715880).

85429687500 is an abundant number, since it is smaller than the sum of its proper divisors (194843744260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85429687500 is an frugal number, since it uses more digits than its factorization.

85429687500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 85429687500 in words is "eighty-five billion, four hundred twenty-nine million, six hundred eighty-seven thousand, five hundred".